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Finding the Fourth Proportional to 255,904.33, 383,842.66 and 78,411.87

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Solution

The fourth proportional to 255,904.33, 383,842.66 and 78,411.87 is: 117,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.33 : 383,842.66 = 78,411.87 : x
  2. Step 2: Convert to fraction form
    255,904.33/383,842.66 = 78,411.87/x
  3. Step 3: Cross multiply
    255,904.33x = 383,842.66 × 78,411.87
  4. Step 4: Simplify right side
    255,904.33x = 30,097,820,756.37
  5. Step 5: Solve for x
    x = 30,097,820,756.37/255,904.33
  6. Step 6: Final answer
    x = 117,613.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.